Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488gx |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-1429450721118560448 = -1 · 26 · 37 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-403139,113950647] |
[a1,a2,a3,a4,a6] |
Generators |
[3434:35937:8] |
Generators of the group modulo torsion |
j |
-19639251778048/3874403907 |
j-invariant |
L |
7.9351388750999 |
L(r)(E,1)/r! |
Ω |
0.25845238710827 |
Real period |
R |
2.1930369479908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ez1 51744bu1 103488fl1 |
Quadratic twists by: -4 8 -7 |